[HTML][HTML] Solution of time fractional Fitzhugh–Nagumo equation using semi analytical techniques

ZY Fan, KK Ali, M Maneea, M Inc, SW Yao - Results in Physics, 2023 - Elsevier
In this work, we apply three different techniques to solve the Fitzhugh–Nagumo equation that
is an important equation used to describe the propagation of electrical signals in excitable …

[HTML][HTML] New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique

KK Ali, M Maneea - Alexandria Engineering Journal, 2023 - Elsevier
In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-
Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation …

An efficient approximate analytical technique for the fractional model describing the solid tumor invasion

HB Chethan, R Saadeh, DG Prakasha, A Qazza… - Frontiers in …, 2024 - frontiersin.org
In this manuscript, we derive and examine the analytical solution for the solid tumor invasion
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …

Solving Nonlinear Fractional Models in Superconductivity Using the q‐Homotopy Analysis Transform Method

KK Ali, M Maneea, MS Mohamed - Journal of Mathematics, 2023 - Wiley Online Library
The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are
important models in the study of superconductivity and superfluidity. This study describes the …

Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels

SAM Alsallami, M Maneea, EM Khalil… - Scientific Reports, 2023 - nature.com
In the realm of nonlinear dynamics, the Belousov-Zhabotinsky reaction system has long held
the fascination of researchers. The Belousov-Zhabotinsky system continues to be an active …

Some exact solutions of a variable coefficients fractional biological population model

AH Abdel Kader, MS Abdel Latif… - … Methods in the Applied …, 2021 - Wiley Online Library
In this paper, we investigate the exact solutions of a nonlinear variable coefficients time
fractional biological population model using the invariant subspace method. The subspaces …

The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits

A Gabr, AH Abdel Kader, MS Abdel Latif - International Journal of Applied …, 2021 - Springer
This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …

Fractional modeling of drug diffusion from cylindrical tablets based on Fickian and relaxed approaches with in vivo validation

M Khalaf, A Elsaid, SF Hammad… - International Journal for …, 2023 - Wiley Online Library
Mathematical simulation of drug diffusion is a significant tool for predicting the bio‐transport
process. Moreover, the reported models in the literature are based on Fick's approach …

The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives

MS Abdel Latif, AH Abdel Kader, D Baleanu - Advances in Difference …, 2020 - Springer
In this paper, we show that the invariant subspace method can be successfully utilized to get
exact solutions for nonlinear fractional partial differential equations with generalized …

Symmetries, conservation laws and group invariant solutions of fractional PDEs

RK Gazizov, AA Kasatkin… - Fractional Differential …, 2019 - degruyter.com
We give the extensions of several basic techniques of Lie group analysis which are intended
for symmetry properties investigation of fractional partial differential equations. The …